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Using the Newton polygon we prove a factorization theorem for the local polar curves. Then we give some applications to the polar invariants and pencils of plane curve singularities. 288 2000 Mathematics Subject Classification: Primary 32S55. factorization of the polar curve and the newton polygon 303doi:10.2996/kmj/1073670610 fatcat:f5phtp6czvas7bl2fuzulwzqce